Noncommutative Cantor–Bendixson derivatives and scattered C⁎-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00488851" target="_blank" >RIV/67985840:_____/18:00488851 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2018.03.008" target="_blank" >http://dx.doi.org/10.1016/j.topol.2018.03.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2018.03.008" target="_blank" >10.1016/j.topol.2018.03.008</a>

Result language
angličtina
Original language name
Noncommutative Cantor–Bendixson derivatives and scattered C⁎-algebras
Original language description
We analyze the sequence obtained by consecutive applications of the Cantor–Bendixson derivative for a noncommutative scattered C⁎-algebra A, using the ideal IAt(A) generated by the minimal projections of A. With its help, we present some fundamental results concerning scattered C⁎-algebras, in a manner parallel to the commutative case of scattered compact or locally compact Hausdorff spaces and superatomic Boolean algebras. It also allows us to formulate problems which have motivated the “cardinal sequences” programme in the classical topology, in the noncommutative context.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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